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On One Initial Boundary Value Problem for the Burgers Equation in a Rectangular Domain [PDF]
Қарағанды университетінің хабаршысы. Математика сериясы, 2021 We consider some initial boundary value problems for the Burgers equation in a rectangular domain, which in a sense can be taken as a model one. The fact is that such a problem often arises when studying the Burgers equation in domains with moving ...
M.T. Jenaliyev +3 more
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New Treatment of wave solutions of the nonlinear Burgers equation [PDF]
Delta Journal of Science, 2023 The nonlinear partial differential equations face many obstacles due to the nonlinear terms. The numerical and approximate solutions are only possible to be obtained.
Sherif Gouda, Selim Mohammadein
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State estimation based on nonlinear Kalman filter for fluid systems described by Burgers’ equation
Nihon Kikai Gakkai ronbunshu, 2021 Burgers’ equation is a fundamental equation for describing several flow phenomena such as traffic, shock waves, turbulence. Burgers’ equation consists of the advective and diffusive terms, which can be used to represent fundamental properties of flow ...
Takashi SHIMIZU, Tomoaki HASHIMOTO
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Results in Physics, 2022 The Burgers equation can describe some phenomena such as turbulence, shock wave and traffic flow dynamics problems. Under consideration in this paper is a discrete Burgers equation, which can be viewed as the discrete counterpart of Burgers equation ...
Ting Zhang, Xiao-Yong Wen, Zhe Lin
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Adaptive Backstepping Boundary Control for a Class of Modified Burgers’ Equation
Fractal and Fractional, 2023 Burgers’ equation is used to describe wave phenomena in hydrodynamics and acoustics. It was derived originally as a prototype to provide analytic insight into the nature of turbulence and its modeling, and has found applications in the study of shock ...
Francisco Jurado +1 more
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Indonesian Journal of Information Systems, 2020 We solve the inviscid Burgers equation involving a logistic reaction. The goal is to investigate the effects of the logistic reaction to numerical solutions of the inviscid Burgers equation.
Sudi Mungkasi
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Algebraic traveling waves for the modified Korteweg–de-Vries–Burgers equation
Electronic Journal of Qualitative Theory of Differential Equations, 2020 In this paper we characterize all traveling wave solutions of the Generalized Korteweg–de Vries–Burgers equation. In particular we recover the traveling wave solutions for the well-known Korteweg–de Vries–Burgers equation.
Claudia Valls
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Partial Differential Equations in Applied Mathematics, 2022 In this paper I give a short review on the continuous, semi-discrete and discrete Burgers equations, which are featured as integrable equations that are linearisable.
Da-jun Zhang
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Journal of Applied Mathematics, 2014 We present finite difference schemes for Burgers equation and Burgers-Fisher equation. A new version of exact finite difference scheme for Burgers equation and Burgers-Fisher equation is proposed using the solitary wave solution.
Lei Zhang, Lisha Wang, Xiaohua Ding
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Journal of Applied Mathematics, 2012 The paper presents an investigation of the generation, evolution of Rossby solitary waves generated by topography in finite depth fluids. The forced ILW- (Intermediate Long Waves-) Burgers equation as a model governing the amplitude of solitary waves is ...
Hongwei Yang +3 more
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